Anything is possible but the chances of being a victim of violent crime by a US citizen are far greater, if you believe in math and science.
The US is "a place where really horrific crimes (often directed at females) regularly occur", but primarily by our own citizens.
Here's and short article about a Texas study:
With new access to Texas’ computerized criminal history data for more than 1.8 million arrests over six years, UW–Madison sociology professor Michael Light and co-authors Jingying He and Jason Robey were able to directly calculate the rates at which U.S.-born citizens, legal immigrants and undocumented immigrants were arrested for a range of felony offenses
Undocumented immigrants far less likely to commit crimes in U.S. than citizens
Charis E. Kubrin, a professor of criminology, law and society at the University of California, Irvine, who was not involved in the research, describes the paper as “completely groundbreaking.” It’s “another nail in the coffin of what we know about the link between immigration and crime,” she says.
www.scientificamerican.com/article/undocumented-immigrants-are-half-as-likely-to-be-arrested-for-violent-crimes-as-u-s-born-citizens
Here's an article by a professor in the department of criminology at the University of Pennsylvania and a research affiliate at the University of Chicago crime lab about a CA study, BBM:
For those who are skeptical that these findings are true, consider the case of El Paso, Texas a working class city of approximately 700,000 people that sits opposite the Rio Grande river from Ciudad Juarez, one of the most violent and lawless cities in Mexico. More than 80% of El Paso's residents are Hispanic and the vast majority of these individuals are of Mexican origin. A large population of El Paso's Hispanic population are immigrants. In fact,
El Paso has one of the highest proportions of immigrants among U.S. cities. Many of these migrants are undocumented. If those who fear Mexican immigration are right, then El Paso should be a hotbed of violence. As it turns out, El Paso is one of the safest cities in the United States with a homicide rate of 2.4 per 100,000 residents. Just a tiny handful of American cities have a lower homicide rate and most of those that do (San Diego, Chula Vista, and Mesa, AZ, for example) also have outsize Mexican populations. Incredibly El Paso's homicide rate is so low that it compares favorably to European capitals like London, Paris and Amsterdam, cities which have rates of lethal violence that are generally an order of magnitude lower than cities in the United States.
To summarize...there is simply no evidence to support that Mexican immigration should be a cause for concern. If anything, there is quite a bit of evidence that the immigrants we attract from Mexico serve to make us safer than we otherwise would be.
Do Mexican Immigrants "Cause" Crime? | Department of Criminology
Here's another in depth study from the Police Foundation in a PDF, same results, the math and science are consistent.
https://www.google.co.id/url?sa=t&s...gQFnoECB4QAQ&usg=AOvVaw3BEJTajN0BEebMtDwuinkz